data: - - Ciso: 9576v Clabel: 9576v4 Cnumber: 4 abc_quality: 1.0526082543070654 absD: 15901664451282054144 adelic_genus: 0 adelic_index: 48 adelic_level: 3192 ainvs: - 0 - 0 - 0 - -57459 - -191931010 analytic_rank: 0 bad_primes: - 2 - 3 - 7 - 19 class_deg: 4 class_size: 4 cm: 0 conductor: 9576 degree: 196608 elladic_images: - 4.6.0.1 faltings_height: __RealLiteral__: 0 data: '2.3634602169865360506507098505' prec: 100 faltings_index: 3 faltings_ratio: 4 id: 61868 iso_nlabel: 19 isogeny_degrees: - 1 - 2 - 4 jinv: - -28104147578308 - 21301741002339 lmfdb_iso: 9576.t lmfdb_label: 9576.t3 lmfdb_number: 3 manin_constant: 1 min_quad_twist_ainvs: - 0 - -1 - 0 - -6384 - 7110684 min_quad_twist_disc: -3 modell_images: - 2B modm_images: - 2.3.0.a.1 - 4.6.0.c.1 - 12.12.0-4.c.1.1 - 38.6.0.b.1 - 56.12.0.ba.1 - 76.12.0.? - 168.24.0.? - 228.24.0.? - 1064.24.0.? - 3192.48.0.? nonmax_primes: - 2 nonmax_rad: 2 num_bad_primes: 4 num_int_pts: 1 optimality: 0 potential_good_reduction: false rank: 0 regulator: 1 semistable: false sha: 16 sha_primes: - 2 signD: -1 stable_faltings_height: __RealLiteral__: 0 data: '1.2365314221858601137720604642' prec: 100 szpiro_ratio: 5.636342607609783 torsion: 2 torsion_primes: - 2 torsion_structure: - 2 - - anlist: - 0 - 1 - 0 - 0 - 0 - 2 - 0 - -1 - 0 - 0 - 0 - 4 - 0 - 2 - 0 - 0 - 0 - 6 - 0 - 1 - 0 aplist: - 0 - 0 - 2 - -1 - 4 - 2 - 6 - 1 - 0 - 10 - 8 - -2 - -6 - 4 - 8 - -6 - 4 - -10 - 8 - -12 - -14 - -4 - 4 - -6 - 14 class_deg: 4 class_size: 4 conductor: 9576 id: 36265 isogeny_matrix: - - 1 - 2 - 4 - 4 - - 2 - 1 - 2 - 2 - - 4 - 2 - 1 - 4 - - 4 - 2 - 4 - 1 lmfdb_iso: 9576.t trace_hash: 940075881223817937 - - area: __RealLiteral__: 0 data: '0.0088536946369958786586152002910' prec: 110 conductor: 9576 gens: [] heights: [] id: 61868 lmfdb_label: 9576.t3 ngens: 0 rank_bounds: - 0 - 0 real_period: __RealLiteral__: 0 data: '0.099336173377925073770588637062' prec: 107 sha_an: __RealLiteral__: 0 data: '16.000000000000000000000000000' prec: 100 special_value: __RealLiteral__: 0 data: '3.1787575480936023606588363859765521166' prec: 130 tamagawa_product: 8 torsion_generators: - - 610 - 0 - 1 xcoord_integral_points: - 610 - - id: 61868 iwdata: '19': - 1 - 0 '2': a '3': a '7': - 0 - 0 iwp0: 3 lmfdb_label: 9576.t3 - - degree: 2 field: - -3 - 0 - 1 id: 498192 lmfdb_label: 9576.t3 torsion: - 4 - degree: 2 field: - 5 - -1 - 1 id: 498191 lmfdb_label: 9576.t3 torsion: - 2 - 2 - degree: 2 field: - 57 - 0 - 1 id: 498193 lmfdb_label: 9576.t3 torsion: - 4 - degree: 4 field: - 61 - -4 - 5 - -2 - 1 id: 498194 lmfdb_label: 9576.t3 torsion: - 2 - 4 - degree: 8 field: - 9 - -24 - -104 - -108 - -70 - -16 - 16 - -4 - 1 id: 498196 lmfdb_label: 9576.t3 torsion: - 8 - degree: 8 field: - 801 - 1092 - 196 - -66 - 12 - -10 - -12 - 0 - 1 id: 498198 lmfdb_label: 9576.t3 torsion: - 6 - degree: 8 field: - 5776 - 0 - 0 - 0 - -76 - 0 - 0 - 0 - 1 id: 498195 lmfdb_label: 9576.t3 torsion: - 2 - 4 - degree: 8 field: - 3122289 - 0 - 216600 - 0 - 8626 - 0 - 152 - 0 - 1 id: 498197 lmfdb_label: 9576.t3 torsion: - 8 - degree: 16 field: - 56169 - 0 - -9792 - 0 - -36428 - 0 - -3768 - 0 - 3678 - 0 - -1328 - 0 - 276 - 0 - -24 - 0 - 1 id: 498203 lmfdb_label: 9576.t3 torsion: - 12 - degree: 16 field: - 115600 - 0 - 96112 - 0 - 38840 - 0 - 11868 - 0 - 3065 - 0 - 228 - 0 - 86 - 0 - -8 - 0 - 1 id: 498200 lmfdb_label: 9576.t3 torsion: - 2 - 8 - degree: 16 field: - 145161 - 0 - -101148 - 0 - 65806 - 0 - -19780 - 0 - 507 - 0 - -20 - 0 - 66 - 0 - 8 - 0 - 1 id: 498199 lmfdb_label: 9576.t3 torsion: - 4 - 4 - degree: 16 field: - 7800849 - 0 - 4743540 - 0 - 1280106 - 0 - 250800 - 0 - 40755 - 0 - 4560 - 0 - 442 - 0 - 20 - 0 - 1 id: 498202 lmfdb_label: 9576.t3 torsion: - 2 - 6 - degree: 16 field: - 41204473 - -69249564 - 363620522 - -667747684 - 539775032 - -270989748 - 131465138 - -37872468 - 12820537 - -2368956 - 610222 - -77516 - 15528 - -1232 - 196 - -8 - 1 id: 498201 lmfdb_label: 9576.t3 torsion: - 2 - 8 - degree: 16 field: - 178462881 - 0 - 58669536 - 0 - -2602064 - 0 - -1399152 - 0 - 136326 - 0 - -2416 - 0 - 780 - 0 - 0 - 0 - 1 id: 498204 lmfdb_label: 9576.t3 torsion: - 12 - - conductor: 9576 conductor_valuation: 3 discriminant_valuation: 10 id: 201827 j_denominator_valuation: 0 kodaira_symbol: -3 lmfdb_label: 9576.t3 prime: 2 reduction_type: 0 root_number: -1 tamagawa_number: 2 - conductor: 9576 conductor_valuation: 2 discriminant_valuation: 10 id: 201828 j_denominator_valuation: 4 kodaira_symbol: -8 lmfdb_label: 9576.t3 prime: 3 reduction_type: 0 root_number: -1 tamagawa_number: 2 - conductor: 9576 conductor_valuation: 1 discriminant_valuation: 12 id: 201829 j_denominator_valuation: 12 kodaira_symbol: 16 lmfdb_label: 9576.t3 prime: 7 reduction_type: -1 root_number: 1 tamagawa_number: 2 - conductor: 9576 conductor_valuation: 1 discriminant_valuation: 1 id: 201830 j_denominator_valuation: 1 kodaira_symbol: 5 lmfdb_label: 9576.t3 prime: 19 reduction_type: 1 root_number: -1 tamagawa_number: 1 - - adelic_gens: - - 403 - 402 - 2274 - 2803 - - 3185 - 8 - 3184 - 9 - - 1 - 0 - 8 - 1 - - 1 - 8 - 0 - 1 - - 1 - 4 - 4 - 17 - - 844 - 1065 - 2991 - 2134 - - 1063 - 0 - 0 - 3191 - - 403 - 1464 - 954 - 2533 - - 7 - 6 - 3186 - 3187 - - 913 - 2136 - 1524 - 2161 adelic_image: 3192.48.0.? conductor: 9576 id: 1727305 lmfdb_label: 9576.t3 prime: 0 - conductor: 9576 elladic_image: 4.6.0.1 id: 46387 lmfdb_label: 9576.t3 modell_image: 2B prime: 2 - [] label_cols: - lmfdb_label - lmfdb_iso - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_label - lmfdb_iso labels: - 9576.t3 - 9576.t - 9576.t3 - 9576.t3 - 9576.t3 - 9576.t3 - 9576.t3 - 9576.t tables: - ec_curvedata - ec_classdata - ec_mwbsd - ec_iwasawa - ec_torsion_growth - ec_localdata - ec_galrep - ec_padic timestamp: '2024-04-24T00:36:40.817628'